1, psychologically:
As long as you learn calculus a little better than your classmates, your confidence will increase at once. On the contrary, I used to do well in school. When I am confused when studying calculus, my confidence will be greatly frustrated.
2. In terms of methods:
Flexible methods, such as finding extreme value, sketching, approximate calculation (if you don't need a calculator, you can calculate the function value to 5 or 6 decimal places, which is easy, such as sin29.9), calculating the area of irregular figure, calculating speed, acceleration, displacement and distance, etc. Generally speaking, find the tangent equation, normal equation,,,,
As soon as the method is flexible, the confidence and motivation of learning will increase unprecedentedly. If you practice multiple solutions to one question and multiple solutions to one question, many concepts will be understood accurately and many methods will be integrated.
3, in the follow-up education:
For decades, our teacher has been dreaming hard and unwilling to wake up. We have been deceiving our poor students intentionally or unintentionally for a long time, making many students mistakenly think that our high school students have learned a lot and our students have learned a lot. They regard nonsense as a common occurrence, and call people who seek truth from facts unpatriotic, which is tragic to the extreme.
We high school students are just better than bad students in Europe and America. Compared with the good students in other countries, our students have only a narrow and shallow knowledge, limited to a few small contents, and will never be entangled and confused, as if the whole science is just a little bit. Stick to the theme, stick to the theme, solve problems, and solve strange problems. Never stop talking, never stop talking!
Now is the online world. Landlords can check the Commonwealth's junior high school graduation examination (O-Level) and senior high school graduation examination (A-Level) online to see the calculus that junior high school graduates generally take. How many ways can we high school students solve it? Look at the calculus taken by other high school graduates. How many ways can our high school teachers solve it? If asked to answer in English? Can one of 100 survive? Which of them hasn't learned English for at least ten or twenty years? Isn't the evaluation of professional titles an English test? Even if the math teacher solves problems in Chinese, how many teachers can solve differential equations? How many can go backwards? I am a high school student, right? The landlord will check the BC paper of American AP exam online again. How many teachers can we pass the exam? For more than half a century, people have been taking exams in Britain and the United States. How many teachers are awake?
If the landlord intends to study abroad and in Europe and America in the future, be sure to know yourself and know yourself! Don't be blind and confident! We should be in line with the international standards, not derailing, not going wrong!
In our textbooks, there are so many mistakes, which are outrageous and shocking!
But then again, calculus is different from elementary mathematics, and the way of thinking is very different. Many college graduates may have studied calculus, but most of them just join in the fun. Most of them didn't learn calculus well and didn't understand the essence of calculus at all. In front of people who have never studied, it is the capital to brag; In front of children, it is a history of shame! If you don't believe me, the landlord can find some simple calculus problems and find a few college graduates to answer and explain. They must say, "I have forgotten it for many years." This is their only excuse. Even then, they knew this, but they didn't know why. Now most college students are like this: knowing one thing and not knowing another.
Come on, landlord!
Six Tibetan parrots, if you don't sing, it's a blockbuster!
Snow buried egrets, or fly to the sky!